Home / 1,416.47-2,122.39-867.50

Finding the Fourth Proportional to 1,416.47, 2,122.39 and 867.50

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Solution

The fourth proportional to 1,416.47, 2,122.39 and 867.50 is: 1,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.47 : 2,122.39 = 867.50 : x
  2. Step 2: Convert to fraction form
    1,416.47/2,122.39 = 867.50/x
  3. Step 3: Cross multiply
    1,416.47x = 2,122.39 × 867.50
  4. Step 4: Simplify right side
    1,416.47x = 1,841,173.33
  5. Step 5: Solve for x
    x = 1,841,173.33/1,416.47
  6. Step 6: Final answer
    x = 1,299.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.